2001/05/11 by Denis S. Grebenkov, D. S. Grebenkov, Grebenkov, D. S.
Chemistry · Physics and Astronomy · #Electrostatics and Colloid Interactions #FOS: Physical sciences #Soft Condensed Matter (cond-mat.soft) #Surfactants and Colloidal Systems #cond-mat.soft
paper · pdf · doi:10.48550/arxiv.cond-mat/0105233
15 pages, 4 tables
arxiv created 2001/05/11 · openalex publication_date 2001/05/11 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Using the notion of aggregation work, we construct a system of differential equations for the aggregation number of micelles which is a function of the parameters of micellization (parametric equations). There are explicit solutions for two important models of spherical micelles. Based on these solutions, we obtain an analytical expression for the equilibrium concentration of surfactant monomers and consequently for the whole spectrum of equilibrium concentrations of molecular aggregates in this framework. Accuracy of these expressions is discussed, and they are applied on an example of micelles formed by sodium dodecyl sulfate.